Class 9 Exam > Class 9 Questions > Direction: In the following questions, a sta...
Start Learning for Free
Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
Assertion : (2 - √3) is one zero of the quadratic polynomial then other zero will be (2 + √3).
Reason : Irrational zeros (roots) always occurs in pairs.
- a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
- b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
- c)Assertion (A) is true but reason (R) is false.
- d)Assertion (A) is false but reason (R) is true.
Correct answer is option 'A'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Direction: In the following questions, a statement of assertion (A) i...
As irrational roots/zeros always occurs in pairs therefore, when one zero is (2 - √3) then other will be (2 + √3) . So, both A and R are correct and R explains A.
View all questions of this test
Most Upvoted Answer
Direction: In the following questions, a statement of assertion (A) i...
Assertion and Reasoning
Assertion: (2 - √3) is one zero of the quadratic polynomial then other zero will be (2 + √3).
Reasoning: Irrational zeros (roots) always occur in pairs.
Explanation
Quadratic polynomial is given by ax² + bx + c = 0, where a, b, and c are constants. The quadratic formula is used to find the roots of the quadratic equation.
The roots of the quadratic equation can be real or complex. The roots can be rational or irrational. If a quadratic equation has irrational roots, then they always occur in pairs.
In the given assertion, (2 - √3) is one zero of the quadratic polynomial. Therefore, the other zero will be (2 + √3). This is because the sum of the roots of a quadratic equation is -b/a, and the product of the roots is c/a. In this case, the sum of the roots is (2 - √3) + (2 + √3) = 4, and the product of the roots is (2 - √3)(2 + √3) = 1. Therefore, the other zero must be (2 + √3).
The reasoning provided is correct because irrational roots always occur in pairs. This is because if a quadratic equation has an irrational root, then its conjugate must also be a root. The conjugate of an irrational number is obtained by changing the sign of the radical. In this case, the conjugate of (2 - √3) is (2 + √3).
Conclusion
Hence, both the assertion and reasoning are true, and the reasoning is the correct explanation for the assertion. Therefore, the correct answer is option A.
Assertion: (2 - √3) is one zero of the quadratic polynomial then other zero will be (2 + √3).
Reasoning: Irrational zeros (roots) always occur in pairs.
Explanation
Quadratic polynomial is given by ax² + bx + c = 0, where a, b, and c are constants. The quadratic formula is used to find the roots of the quadratic equation.
The roots of the quadratic equation can be real or complex. The roots can be rational or irrational. If a quadratic equation has irrational roots, then they always occur in pairs.
In the given assertion, (2 - √3) is one zero of the quadratic polynomial. Therefore, the other zero will be (2 + √3). This is because the sum of the roots of a quadratic equation is -b/a, and the product of the roots is c/a. In this case, the sum of the roots is (2 - √3) + (2 + √3) = 4, and the product of the roots is (2 - √3)(2 + √3) = 1. Therefore, the other zero must be (2 + √3).
The reasoning provided is correct because irrational roots always occur in pairs. This is because if a quadratic equation has an irrational root, then its conjugate must also be a root. The conjugate of an irrational number is obtained by changing the sign of the radical. In this case, the conjugate of (2 - √3) is (2 + √3).
Conclusion
Hence, both the assertion and reasoning are true, and the reasoning is the correct explanation for the assertion. Therefore, the correct answer is option A.
Free Test
FREE
| Start Free Test |
Community Answer
Direction: In the following questions, a statement of assertion (A) i...
When I will free then I will be explained this question
Attention Class 9 Students!
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.
|
Explore Courses for Class 9 exam
|
|
Similar Class 9 Doubts
Top Courses for Class 9View all
Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : (2 - √3) is one zero of the quadratic polynomial then other zero will be (2 + √3).Reason : Irrational zeros (roots) always occurs in pairs.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer?
Question Description
Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : (2 - √3) is one zero of the quadratic polynomial then other zero will be (2 + √3).Reason : Irrational zeros (roots) always occurs in pairs.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : (2 - √3) is one zero of the quadratic polynomial then other zero will be (2 + √3).Reason : Irrational zeros (roots) always occurs in pairs.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : (2 - √3) is one zero of the quadratic polynomial then other zero will be (2 + √3).Reason : Irrational zeros (roots) always occurs in pairs.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer?.
Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : (2 - √3) is one zero of the quadratic polynomial then other zero will be (2 + √3).Reason : Irrational zeros (roots) always occurs in pairs.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : (2 - √3) is one zero of the quadratic polynomial then other zero will be (2 + √3).Reason : Irrational zeros (roots) always occurs in pairs.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : (2 - √3) is one zero of the quadratic polynomial then other zero will be (2 + √3).Reason : Irrational zeros (roots) always occurs in pairs.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer?.
Solutions for Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : (2 - √3) is one zero of the quadratic polynomial then other zero will be (2 + √3).Reason : Irrational zeros (roots) always occurs in pairs.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 9.
Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Here you can find the meaning of Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : (2 - √3) is one zero of the quadratic polynomial then other zero will be (2 + √3).Reason : Irrational zeros (roots) always occurs in pairs.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : (2 - √3) is one zero of the quadratic polynomial then other zero will be (2 + √3).Reason : Irrational zeros (roots) always occurs in pairs.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer?, a detailed solution for Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : (2 - √3) is one zero of the quadratic polynomial then other zero will be (2 + √3).Reason : Irrational zeros (roots) always occurs in pairs.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : (2 - √3) is one zero of the quadratic polynomial then other zero will be (2 + √3).Reason : Irrational zeros (roots) always occurs in pairs.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Direction: In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:Assertion : (2 - √3) is one zero of the quadratic polynomial then other zero will be (2 + √3).Reason : Irrational zeros (roots) always occurs in pairs.a)Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).b)Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).c)Assertion (A) is true but reason (R) is false.d)Assertion (A) is false but reason (R) is true.Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Class 9 tests.
|
|
Explore Courses for Class 9 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup